Title of article :
A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index
Author/Authors :
Yusuf, Mohammed waziri Department of Mathematical sciences - Faculty of Science - Bayero University Kano, Kano, Nigeria , Saminu, Kabir Department of Mathematics - School of General Studies - Dr. Yusufu Bala Usman College Daura, Katsina,Katsina, Nigeria
Abstract :
In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising.
Keywords :
Eight-order convergence , Non-linear equations , Mid-point , Efficiency index
Journal title :
International Journal of Mathematical Modelling and Computations
